An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 238
C. Ex. 3. Show that the inverse circles of a system of parallel straight linestouch each other at the centre of inversion. Ex. 4. If a system of lines be concurrent, show that the circles which areinveree to them are coaxal. Ex. 5. The inverse circles of two straight lines intersect at the same… … Let A be the centre of the given circle, and 0 the centre of thecircle of inversion. Let P be any point on the given circle, andlet P be the inverse point. Let OP cut the given circle in Q, and let PB be drawn parallelto QA, and meeting OA in B. Then since the rectangles OP. OP, OP. OQ are…
Geometry
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